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3 years ago

Solve each equation by factoring.

Mathematics

1 answer:

nevsk [136]3 years ago

4 0

Answer:

k=1/3; k=-2/5

Step-by-step explanation:

$15k^2+k-4=-2\\15k^2+k-2=0\\(3k-1)(5k+2)=0\\3k-1=0; 5k+2=0\\k=1/3; k=-2/5$

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The accepted value of the average distance between Earth and the moon is 384, 467 km. If a scientist measures that the moon is 3

Karo-lina-s [1.5K]

Answer:

Percentage error is 0.0024 %

Step-by-step explanation:

Initial average distance between Earth and moon = 384467 km

Distance measure by the scientist = 384476 km

Total variation in the distance calculation = 384476 – 384467 = 9 km.

Now we can find the percentage by dividing the variation in distance from the initial measurement and then multiply with hundred.

Percentage error = ( 9 / 384467 ) × 100 = 0.0024 %

4 0

3 years ago

. A Gardener has 6203 plants. He wants to plant this in such a way that the number of rows and the number of columns remain the

Anastasy [175]

Answer:

Step-by-step explanation:

Since he wants to have equal number of rows and columns..the number of plants must be a root number. 6203 is not a root number. 6241 is the closest root number

(√6241= 79)

So he needs a minimum of 6241 plants in total for it.

6241-6203= 38

Therefore he needs 38 more plants

5 0

3 years ago

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

Katen [24]

Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

Step-by-step explanation:

Given

$n = 200$

$x_1 = 34$ -- City C

$x_2 = 54$ --- City K

Required

Determine the 90% confidence interval

This is calculated using:

$CI = \bar x \± z\frac{\sigma}{\sqrt n}$

Calculating $\bar x$

$\bar x = \bar x_1 - \bar x_2$

$\bar x = \frac{x_1}{n} - \frac{x_2}{n}$

$\bar x = \frac{34}{200} - \frac{54}{200}$

$\bar x = 0.17 - 0.27$

For a 90% confidence level, the z-score is 1.65. So:

$z = 1.65$

Calculating the standard deviation $\sigma$

$\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }$

So:

$\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }$

$\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}$

So:

$CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}$

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

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2 years ago

Which of the following best describes the solution to the system of equations below?

8090 [49]

The answer is D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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3 years ago

How can Doug use place value pattern to check his answer?

MAVERICK [17]

He can use it to make sure he lined his place values up properly

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3 years ago